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新的对偶框架解决了无 Slater 条件的约束优化问题

研究人员开发了一种新的对偶框架,用于约束在线凸优化,该框架无需 Slater 条件。这种自适应正则化方法稳定了对偶过程,为随机和对抗性约束提供了改进的遗憾界和约束违反界。该框架实现了强凸损失的对数遗憾,并为硬约束违反提供了保证。 AI

影响 这项研究推进了与机器学习算法相关的优化技术。

排序理由 该集群包含一篇详细介绍新优化框架的学术论文。

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

新的对偶框架解决了无 Slater 条件的约束优化问题

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该集群包含一篇详细介绍新优化框架的学术论文。
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报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Kihyun Yu, Junehee Lee, Dabeen Lee ·

    无 Slater 条件下的约束在线凸优化

    arXiv:2606.31480v1 Announce Type: new Abstract: We study constrained online convex optimization with adversarial losses and stochastic or adversarial constraints. For stochastic constraints, existing algorithms that achieve nearly optimal regret and constraint violation bounds ty…

  2. arXiv cs.LG TIER_1 English(EN) · Dabeen Lee ·

    无 Slater 条件下的约束在线凸优化

    We study constrained online convex optimization with adversarial losses and stochastic or adversarial constraints. For stochastic constraints, existing algorithms that achieve nearly optimal regret and constraint violation bounds typically rely on regularity assumptions such as S…